Branching rules for Hecke Algebras of Type $D_{n}$

Details Branching rules for Hecke Algebras of Type $D_{n}$ Branching rules for Hecke Algebras of Type $D_{n}$

2005-12-09

arxiv.org/abs/math/0512206v1

Mathematics

Representation Theory

Scientific paper

In this paper we study the branching problems for Hecke algebra $\H(D_n)$ of type $D_n$. We explicitly describe the decompositions of the socle of the restriction of each irreducible $\H(D_n)$-representation to $\H(D_{n-1})$ into irreducible modules by using the corresponding results for type $B$ Hecke algebras. In particular, we show that any such restrictions are always multiplicity free.

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